Question

The dimensions of a cuboid arecin the ratio 4:3:1 and its total surface area is 950 cm2 find the dimensions

Answer 1

let length of cuboid be 4x.
breadth of cuboid be 3x.
and height of cuboid be x.

ATQ
2(lb +bh+hl)=950
2(4x×3x+3x×x+x×4x) =950
2(12x^2+3x^2+4x^2)=950
2(19x^2)=950
38x^2=950.
x^2=950/38=25.
x=√25
x=5.

therefore length of cuboid =4×5=20cm
breadth of cuboid=3×5=15cm
height of cuboid=5cm

hope it will help.......

Answer 2

Answer:

height of cuboid =5cm

breadth of cuboid=15cm

length of cuboid = 20cm